Measures of Dispersion
Math ⇒ Statistics and Probability
Measures of Dispersion starts at 8 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Measures of Dispersion.
How you perform is determined by your score and the time you take.
When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 9
A data set has a mean of 10 and a standard deviation of 0. What can you say about the data set?
Describe what is meant by a 'measure of dispersion' in statistics.
If the range of a data set is 0, what does this tell you about the data?
Which measure of dispersion is calculated by taking the square root of the average of squared deviations from the mean?
A data set has a mean of 10 and a standard deviation of 0. What can you say about the data set?
Calculate the range of the following data set: 5, 8, 12, 15, 20.
Given the data set: 1, 2, 3, 4, 5, 6, 7, what is the standard deviation (rounded to two decimal places)?
Given the data set: 10, 12, 14, 16, 18, what is the interquartile range (IQR)?
Which measure of dispersion is best for comparing the spread of two data sets with different units?
(1) Range
(2) Standard deviation
(3) Coefficient of variation
(4) Interquartile range
Which measure of dispersion is most affected by extreme values?
(1) Range
(2) Interquartile range
(3) Variance
(4) Standard deviation
Which of the following best describes the standard deviation?
(1) The difference between the largest and smallest values
(2) The average distance of each data point from the mean
(3) The middle value of the data set
(4) The sum of all data values divided by the number of values
Which of the following is a reason to use the interquartile range instead of the range?
(1) The data set is small
(2) The data set has outliers
(3) The data set is symmetrical
(4) The data set has no outliers
Fill in the blank: The ________ is a measure of dispersion that is not affected by extreme values.
Fill in the blank: The ________ is the simplest measure of dispersion.
Fill in the blank: The formula for variance is the sum of squared differences from the mean divided by the ________ of values.
Fill in the blank: The interquartile range is the range of the ________ 50% of the data.
Is it possible for two data sets to have the same mean but different standard deviations?
Is the interquartile range (IQR) resistant to outliers?
True or False: If all values in a data set are the same, the standard deviation is zero.
True or False: The interquartile range is always less than or equal to the range.
